Equation $Z^{\prime }=A(t)-Z^2$ coefficient of which has a small modulus

Miloš Ráb

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The Riccati differential equation with complex-valued coefficients and application to the equation $x^{''} + P (t) x^{'} + Q (t) x = 0$

Zuzana Došlá (1982)

Archivum Mathematicum

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On some properties of the solution of the differential equation $u^{''} + \frac{2 u^{'}}{r} = u - u^{3}$

Valter Šeda, Ján Pekár (1990)

Aplikace matematiky

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In the paper it is shown that each solution $u (r, α)$ ot the initial value problem (2), (3) has a finite limit for $r \to \infty$ , and an asymptotic formula for the nontrivial solution $u (r, α)$ tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions $u (r, \bar{α})$ , $u (r, \hat{α})$ .

Asymptotic behaviour of the equation $x^{''} + p (t) x^{'} + q (t) x = 0$ with complex-valued coefficients

Miloš Ráb (1975)

Archivum Mathematicum

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Displaying similar documents to “Equation Z ' = A ( t ) - Z 2 coefficient of which has a small modulus”

The Riccati differential equation with complex-valued coefficients and application to the equation x ' ' + P ( t ) x ' + Q ( t ) x = 0

On some properties of the solution of the differential equation u ' ' + 2 u ' r = u - u 3

Asymptotic behaviour of the equation x ' ' + p ( t ) x ' + q ( t ) x = 0 with complex-valued coefficients

Displaying similar documents to “Equation $Z^{'} = A (t) - Z^{2}$ coefficient of which has a small modulus”

The Riccati differential equation with complex-valued coefficients and application to the equation $x^{''} + P (t) x^{'} + Q (t) x = 0$

On some properties of the solution of the differential equation $u^{''} + \frac{2 u^{'}}{r} = u - u^{3}$

Asymptotic behaviour of the equation $x^{''} + p (t) x^{'} + q (t) x = 0$ with complex-valued coefficients